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Limit theorems for random maximum of independent and non-identically distributed random vectors.
- Source :
-
Statistics . Jun2013, Vol. 47 Issue 3, p546-557. 12p. - Publication Year :
- 2013
-
Abstract
- In this paper, we study the weak convergence of the random maximum of independent and non-identical random vectors. When the random sample size is assumed to be independent of the basic variables and its distribution function is assumed to converge weakly to a non-degenerate limit, the necessary and sufficient conditions for the weak convergence of the random maximum are derived. An illustrative example is given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02331888
- Volume :
- 47
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Statistics
- Publication Type :
- Academic Journal
- Accession number :
- 87822922
- Full Text :
- https://doi.org/10.1080/02331888.2011.625645